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Finding the Fourth Proportional to 980,834, 1,462,667.74 and 971,865.56

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Solution

The fourth proportional to 980,834, 1,462,667.74 and 971,865.56 is: 1,449,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,834 : 1,462,667.74 = 971,865.56 : x
  2. Step 2: Convert to fraction form
    980,834/1,462,667.74 = 971,865.56/x
  3. Step 3: Cross multiply
    980,834x = 1,462,667.74 × 971,865.56
  4. Step 4: Simplify right side
    980,834x = 1,421,516,402,229.03
  5. Step 5: Solve for x
    x = 1,421,516,402,229.03/980,834
  6. Step 6: Final answer
    x = 1,449,293.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.